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wolverine [178]
3 years ago
5

The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister,

Joan, leaves the library right after Ralph. She rides her bicycle from the library to their house at a constant rate. The equation d = 14t represents Joan's bicycle ride where d, is the distance, in miles, and t is the time, in hours.
After how many miles will Joan meet Ralph walking to their house?
A. 2.5 miles
B. 7 miles
C. 18 miles
D. 28 miles
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0
A: 2.5
Don’t know if I’m right
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5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0
3 years ago
The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
Scorpion4ik [409]
His meal has a total of 551 calories.

300+150 = 450

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8 0
2 years ago
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Answer:

Hours:         Elevation:

0                  3000

2                  2000

5                  500

Step-by-step explanation:

Time is always placed on the x (horizontal) axis, and the dependent variable on the y. Just find the number given and find the corresponding value to go with it! Hope this helps :)

5 0
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zloy xaker [14]
-4x^4 - 15x^2 + 1 - 19/x^2 is your answer

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8 0
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Natali [406]
It is pretty simple
All you have to do is multiply 186 times .65 which you get 120.9
So that's all you have to do
6 0
3 years ago
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